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12038312 = 23111317619
BaseRepresentation
bin101101111011…
…000010101000
3211122121110102
4231323002220
511040211222
61110004532
7204216056
oct55730250
924577412
1012038312
116882620
124046748
132656580
1418551d6
1510cbd92
hexb7b0a8

12038312 has 64 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4746240.

The previous prime is 12038311. The next prime is 12038317. The reversal of 12038312 is 21383021.

12038312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12038311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19139 + ... + 19757.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 212038312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12038312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

12038312 is an abundant number, since it is smaller than the sum of its proper divisors (16084888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12038312 is a wasteful number, since it uses less digits than its factorization.

12038312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12038312 is about 3469.6270692972. The cubic root of 12038312 is about 229.1862357430.

The spelling of 12038312 in words is "twelve million, thirty-eight thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 619 748 884 1144 1238 1496 1768 2431 2476 4862 4952 6809 8047 9724 10523 13618 16094 19448 21046 27236 32188 42092 54472 64376 84184 88517 115753 136799 177034 231506 273598 354068 463012 547196 708136 926024 1094392 1504789 3009578 6019156 12038312